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Orlov [11]
3 years ago
10

What is the solution to y=-x+3 and y=4x-2

Mathematics
1 answer:
DIA [1.3K]3 years ago
3 0

Answer: x=1

              y=2

Step-by-step explanation:

y=-x+3

y=4x-2

-----------

    y=y

-x+3=4x-2

3+2=4x+x

5=5x

x=1

y=-1+3

y=2

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Which sequences of transformations confirm the congruence of shape II and shape I?
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Which sequences of transformations confirm the congruence of shape II and shape I?

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3 years ago
A Rectangular parking lot has a length that is 4 yards greater than the width the area of the parking lot is 480 square yards. F
Kipish [7]

Answer: length of rectangular parking lot = 24 yards

Width of rectangular parking lot = 20 yards.

Step-by-step explanation:

Let L represent the length of the rectangular parking lot.

Let W represent the width of the rectangular parking lot.

The rectangular parking lot has a length that is 4 yards greater than the width. It means that

W = L - 4

The formula for determining the area of a rectangle is expressed as

Area = LW

The area of the parking lot is 480 square yards.. It means that

LW = 480- - - - - - - - - - 1

Substituting W = L - 4 into equation 1, it becomes

L(L - 4) = 480

L² - 4L = 480

L² - 4L - 480 = 0

L² + 20L - 24L - 480 = 0

L(L + 20) - 24(L + 20) = 0

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8 0
4 years ago
A sample of 1000 college students at NC State University were randomly selected for a survey. Among the survey participants, 102
cupoosta [38]

Answer:

The upper endpoint of the 99% confidence interval for population proportion is 0.13.

Step-by-step explanation:

The confidence interval for population proportion is:

CI=\hat p\pm z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

<u>Given:</u>

<em>n</em> = 1000

\hat p = 0.102

z_{\alpha /2}=z_{0.01/2}=z_{0.005}=2.58

*Use the standard normal table for the critical value.

Compute the 99% confidence interval for population proportion as follows:

CI=\hat p\pm z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.102\pm 2.58\times\sqrt{\frac{0.102(1-0.102)}{1000}}\\=0.102\pm0.0248\\=(0.0772, 0.1268)\\\approx (0.08, 0.13)

Thus, the upper limit of the 99% confidence interval for population proportion is 0.13.

6 0
3 years ago
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